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Question

If In=secnx dx, then I86I67=

A
sec6xtanx7
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B
secxtan7x7
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C
sec6xtanx7
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D
secxtanx7
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Solution

The correct option is C sec6xtanx7
We know that,
In=secnx dx=tanxsecn2xn1+n2n1In2
Putting n=8, we get
I8=sec8x dx=tanxsec6x7+67I6
I867I6=tanxsec6x7

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